195741216 has 216 divisors, whose sum is σ = 631340892. Its totient is φ = 57446400.

The previous prime is 195741209. The next prime is 195741277. The reversal of 195741216 is 612147591.

195741216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 184851216 + 10890000 = 13596^2 + 3300^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (15120) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1428700 + ... + 1428836.

Almost surely, 2^195741216 is an apocalyptic number.

195741216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315670446).

195741216 is an abundant number, since it is smaller than the sum of its proper divisors (435599676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

195741216 is a wasteful number, since it uses less digits than its factorization.

195741216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 195741216 is about 13990.7546615613. The cubic root of 195741216 is about 580.6228109629.

The spelling of 195741216 in words is "one hundred ninety-five million, seven hundred forty-one thousand, two hundred sixteen".